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Finding the Fourth Proportional to 395,963.76, 593,969.94 and 159,306.24

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Solution

The fourth proportional to 395,963.76, 593,969.94 and 159,306.24 is: 238,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,963.76 : 593,969.94 = 159,306.24 : x
  2. Step 2: Convert to fraction form
    395,963.76/593,969.94 = 159,306.24/x
  3. Step 3: Cross multiply
    395,963.76x = 593,969.94 × 159,306.24
  4. Step 4: Simplify right side
    395,963.76x = 94,623,117,814.43
  5. Step 5: Solve for x
    x = 94,623,117,814.43/395,963.76
  6. Step 6: Final answer
    x = 238,969.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.